Continua with partially constrained microstructure

P Giovine - Continuum Mechanics and Thermodynamics, 2022 - Springer
The mechanical balance equations for a body with microstructure are derived from an
expansion of the general Noll's axiom of frame-indifference that takes into account the …

Continuum mechanics, stresses, currents and electrodynamics

R Segev - … Transactions of the Royal Society A …, 2016 - royalsocietypublishing.org
The Eulerian approach to continuum mechanics does not make use of a body manifold.
Rather, all fields considered are defined on the space, or the space–time, manifolds …

Fluxes and Flux-Conjugate Stresses

R Segev - Advances in multifield theories for continua with …, 2004 - Springer
The work presented here is concerned with stress theory on differentiable manifolds. In
addition to the theoretical interest as to the geometrical structure needed for the formulation …

A σ-algebra and a concept of limit for bodies

G Capriz, G Mazzini - Mathematical Models and Methods in Applied …, 2000 - World Scientific
Recent developments in mechanics of continua (the search for optimal shapes of bodies,
homogenization theory, the study of the trabecular structure of bones, the dynamics of …

Extended continuum mechanics for the study of granular flows

G Capriz, G Mullenger - Atti della Accademia Nazionale dei Lincei. Classe …, 1995 - eudml.org
EUDML | Extended continuum mechanics for the study of granular flows Skip to main content
(access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0') …

Interactions on manifolds and the construction of material structure

R Segev, G Rodnay - International journal of solids and structures, 2001 - Elsevier
A theory of surface interactions on manifolds is presented as a framework for force and
stress theory pertaining to materials with micro-structure. The dependence of surface forces …

[PDF][PDF] On volumetric growth and material frames

G Rodnay, R Segev - Extracta mathematicae, 1999 - dialnet.unirioja.es
ェ" B ュ 0 ャ B ャ惘 z ウ峠" イ E ウ サ~ ュ C ウ働 0 ョ G ェ~ ー カ, ッ∵ ュ 0 ョ惆 C ウ ャ惘 z ェ キ ー'ュユ コオェ~
ウ, ッ'セライ E ー z カ, q ョ G ェ ャ愎働 0 ョ P ャ愎, ェ~ ウホ ェ ャ愎動惆 0 ュァ カ, ッ z コケュ C ウ, エ惘'イ E ウ, ェ …

On continuum kinematics of volumetric growth

R Segev, G Rodnay - … Models and Discrete Systems: Proceedings of …, 1998 - hal.science
A continuum model for a body whose elements are distinguishable although its mass is not
conserved is defined using a balance law for a property that characterizes it. A variational …

[PDF][PDF] A-ALGEBRA AND A CONCEPT OF LIMIT FOR BODIES

G CAPRIZ, G MAZZINI - academia.edu
Recent developments in mechanics of continua (the search for optimal shapes of bodies,
homogenization theory, the study of the trabecular structure of bones, the dynamics of …

CRITICAL MODELLING ASPECTS: GRANULAR FLOWS, LAYERING IN SMECTICS

G CAPRIZ, G MULLENGER - … and Discrete Systems: 11-16 June …, 1996 - books.google.com
Many contrary examples could be provided where one or both of those assumptions fail;
utterly at variance are cases where the microstructure is purely local or purely kinematic …